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Finding the Third Proportional to 96,643 and 195,883

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Solution

The third proportional to 96,643 and 195,883 is: 397,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,643 : 195,883 = 195,883 : x
  2. Step 2: Convert to fraction form
    96,643/195,883 = 195,883/x
  3. Step 3: Cross multiply
    96,643x = 195,883 × 195,883
  4. Step 4: Simplify right side
    96,643x = 38,370,149,689
  5. Step 5: Solve for x
    x = 38,370,149,689/96,643
  6. Step 6: Final answer
    x = 397,029.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.